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Finding the Fourth Proportional to 4,174.74, 5,759.31 and 2,405.28

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Solution

The fourth proportional to 4,174.74, 5,759.31 and 2,405.28 is: 3,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.74 : 5,759.31 = 2,405.28 : x
  2. Step 2: Convert to fraction form
    4,174.74/5,759.31 = 2,405.28/x
  3. Step 3: Cross multiply
    4,174.74x = 5,759.31 × 2,405.28
  4. Step 4: Simplify right side
    4,174.74x = 13,852,753.16
  5. Step 5: Solve for x
    x = 13,852,753.16/4,174.74
  6. Step 6: Final answer
    x = 3,318.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.